Finding the Third Proportional to 120,736.50 and 265,377

Step by Step Solution

1. Step 1: Write the proportion equation
   120,736.50 : 265,377 = 265,377 : x
2. Step 2: Convert to fraction form
   120,736.50/265,377 = 265,377/x
3. Step 3: Cross multiply
   120,736.50x = 265,377 × 265,377
4. Step 4: Simplify right side
   120,736.50x = 70,424,952,129
5. Step 5: Solve for x
   x = 70,424,952,129/120,736.50
6. Step 6: Final answer
   x = 583,294.63